I want graphics that can properly immerse me into the world that the dev strives to create. Often times a game with bad graphics just won't draw me in and that creates a problem for me. I can honestly say that Driveclub for example immerses me like no other because the graphics in motion at times create a feeling that just wouldn't be there had the graphics been compromised.
(Skyrim For PC)
This just adds that
feeling when playing.
Edit: Great artstyle + great graphics=Immersion.
Bad artstyle + great graphics=
bad graphics = Needs other things to redeem itself.